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Finding the Fourth Proportional to 133,907.97, 200,721.72 and 45,130.80

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Solution

The fourth proportional to 133,907.97, 200,721.72 and 45,130.80 is: 67,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,907.97 : 200,721.72 = 45,130.80 : x
  2. Step 2: Convert to fraction form
    133,907.97/200,721.72 = 45,130.80/x
  3. Step 3: Cross multiply
    133,907.97x = 200,721.72 × 45,130.80
  4. Step 4: Simplify right side
    133,907.97x = 9,058,731,800.98
  5. Step 5: Solve for x
    x = 9,058,731,800.98/133,907.97
  6. Step 6: Final answer
    x = 67,648.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.